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Estimation of the Birnbaum-Saunders regression model with current status data

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  • Xiao, Qingchu
  • Liu, Zaiming
  • Balakrishnan, N.
  • Lu, Xuewen

Abstract

Estimation for the Birnbaum-Saunders (BS) regression model has been discussed by various authors when data are either complete or subject to Type-I or random censoring. But, this problem has not been considered for the case of interval censoring. In this article, we discuss the estimation of a regression model with current status data when the failure times follow the BS distribution. We estimate the parameters by the method of maximum likelihood, and derive the asymptotic distribution of these estimators. The performance of these estimators is then assessed through Monte Carlo simulations for different sample sizes under two types of monitoring. Finally, an analysis of real data is used to illustrate the proposed method.

Suggested Citation

  • Xiao, Qingchu & Liu, Zaiming & Balakrishnan, N. & Lu, Xuewen, 2010. "Estimation of the Birnbaum-Saunders regression model with current status data," Computational Statistics & Data Analysis, Elsevier, vol. 54(2), pages 326-332, February.
    • Handle: RePEc:eee:csdana:v:54:y:2010:i:2:p:326-332
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    References listed on IDEAS

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    1. Wang, Zhihui & Desmond, A.F. & Lu, Xuewen, 2006. "Modified censored moment estimation for the two-parameter Birnbaum-Saunders distribution," Computational Statistics & Data Analysis, Elsevier, vol. 50(4), pages 1033-1051, February.
    2. Xie, Feng-Chang & Wei, Bo-Cheng, 2007. "Diagnostics analysis for log-Birnbaum-Saunders regression models," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4692-4706, May.
    3. Leiva, Victor & Barros, Michelli & Paula, Gilberto A. & Galea, Manuel, 2007. "Influence diagnostics in log-Birnbaum-Saunders regression models with censored data," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 5694-5707, August.
    4. Ng, H. K. T. & Kundu, D. & Balakrishnan, N., 2003. "Modified moment estimation for the two-parameter Birnbaum-Saunders distribution," Computational Statistics & Data Analysis, Elsevier, vol. 43(3), pages 283-298, July.
    5. Ng, H.K.T. & Kundu, D. & Balakrishnan, N., 2006. "Point and interval estimation for the two-parameter Birnbaum-Saunders distribution based on Type-II censored samples," Computational Statistics & Data Analysis, Elsevier, vol. 50(11), pages 3222-3242, July.
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    1. N. Balakrishnan & Xiaojun Zhu, 2015. "Inference for the bivariate Birnbaum–Saunders lifetime regression model and associated inference," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(7), pages 853-872, October.
    2. Lemonte, Artur J., 2013. "A new extended Birnbaum–Saunders regression model for lifetime modeling," Computational Statistics & Data Analysis, Elsevier, vol. 64(C), pages 34-50.

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